Speaker
Description
Planar particle channelling describes the motion of high-
energy particles trapped in the potential well formed by
crystal lattice planes, allowing their trajectories to be de-
flected in a controlled manner. Within the Molière approx-
imation, which incorporates atomic screening and thermal
vibrations, this motion is typically either approximated by
a harmonic potential or evaluated numerically. Here, we
propose a simplified Molière model that yields closed-form
analytical solutions expressed through Jacobi elliptic func-
tions. To extend the treatment to bent crystals, symplectic
integrators are applied to the equations of motion, ensuring
accuracy and long-term stability through symplecticity. This
semi-analytical approach to evaluate bent channelling has
been benchmarked against existing numerical methods, and
the optimal configuration has been integrated into Xsuite’s
Xcoll package.
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